Percent from a Graph (Visual) 3
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Question 1 of 4
1. Question
Using the image below, find the following values:
Write fractions in the format “a/b” and mixed fractions in the format “a b/c”-
`(i) \text(Fraction of blue-shaded area:)` (2/3, ⅔)`(ii) \text(Percentage of blue-shaded area:)` (66 2/3, 66 ⅔, 66.6, 66.666)`%`
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$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$`(i)` Find the fraction of the blue-shaded region.
no. of purple-shaded parts`=2`total no. of equal parts`=3`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{2}{3}$$ Substitute values `(ii)` Find the percentage of the blue-shaded region.Percentages are values per a hundred, or `x/(100)`. The per a hundred is represented by the symbol `%`.To get the percentage, multiply the fraction value by `100%`.`\text(Percentage)` `=` $$\frac{2}{3}\times100$$ `=` $$\frac{2}{3}\times\frac{100%}{1}$$ `=` $$\frac{200%}{3}$$ `=` `66 2/3%` Keep the remainder in fraction form `(i) 2/3``(ii) 66 2/3%` -
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Question 2 of 4
2. Question
Using the image below, find the following values together:
Write fractions in the format “a/b” and mixed fractions in the format “a b/c”-
`(i) \text(Fraction of red-shaded area:)` (1 ½, 1 1/2, 1 3/6)`(ii) \text(Percentage of red-shaded area:)` (150)`%`
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$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$`(i)` Find the fraction of the red-shaded region.Find the number of shaded regions for each of the figures.First figure
no. of red-shaded parts`=6`total no. of equal parts`=6`Second figure
no. of red-shaded parts`=3`total no. of equal parts`=6`Next, use the formula to get the fraction of each figure.First figure$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{6}{6}$$ Substitute values `=` `1` Simplify Second figure$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{3}{6}$$ Substitute values `=` $$\frac{1}{2}$$ Simplify Finally, combine the fractions of each figure.`\text(Fraction)` `=` `1+1/2` `=` `1 1/2` `(ii)` Find the percentage of the red-shaded region.Percentages are values per a hundred, or `x/(100)`. The per a hundred is represented by the symbol `%`.To get the percentage, multiply the fraction value of each figure by `100%`.First figure`\text(Percentage)` `=` $$1\times100$$ `=` `100%` Second figure`\text(Percentage)` `=` $$\frac{1}{2}\times100$$ `=` $$\frac{1}{2}\times\frac{100%}{1}$$ `=` $$\frac{100%}{2}$$ `=` `50%` Finally, add the two percentages.`\text(Percentage)` `=` `100+50` `=` `150%` `(i) 1 1/2``(ii) 150%` -
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Question 3 of 4
3. Question
Using the image below, find the following values together:
Write fractions in the format “a/b” and mixed fractions in the format “a b/c”-
`(i) \text(Fraction of blue-shaded area:)` (2 ½, 2 1/2, 2 3/6)`(ii) \text(Percentage of blue-shaded area:)` (250)`%`
Hint
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$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$`(i)` Find the fraction of the blue-shaded region.Find the number of shaded regions for each of the figures.First figure
no. of red-shaded parts`=6`total no. of equal parts`=6`Second figure
no. of red-shaded parts`=6`total no. of equal parts`=6`Third figure
no. of red-shaded parts`=3`total no. of equal parts`=6`Next, use the formula to get the fraction of each figure.First figure$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{6}{6}$$ Substitute values `=` `1` Simplify Second figure$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{6}{6}$$ Substitute values `=` `1` Simplify Third figure$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{3}{6}$$ Substitute values `=` $$\frac{1}{2}$$ Simplify Finally, combine the fractions of each figure.`\text(Fraction)` `=` `1+1+1/2` `=` `2 1/2` `(ii)` Find the percentage of the blue-shaded region.Percentages are values per a hundred, or `x/(100)`. The per a hundred is represented by the symbol `%`.To get the percentage, multiply the fraction value of each figure by `100%`.First figure`\text(Percentage)` `=` $$1\times100$$ `=` `100%` Second figure`\text(Percentage)` `=` $$1\times100$$ `=` `100%` Third figure`\text(Percentage)` `=` $$\frac{1}{2}\times100$$ `=` $$\frac{1}{2}\times\frac{100%}{1}$$ `=` $$\frac{100%}{2}$$ `=` `50%` Finally, add the three percentages.`\text(Percentage)` `=` `100+100+50` `=` `250%` `(i) 2 1/2``(ii) 250%` -
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Question 4 of 4
4. Question
Using the image below, find the following values:
Write fractions in the format “a/b” and mixed fractions in the format “a b/c”-
`(i) \text(Fraction of blue-shaded area:)` (⅓, 1/3)`(ii) \text(Percentage of blue-shaded area:)` (33 1/3, 33 ⅓, 33.3, 33.333)`%`
Hint
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$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$`(i)` Find the fraction of the blue-shaded region.
no. of purple-shaded parts`=1`total no. of equal parts`=3`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{1}{3}$$ Substitute values `(ii)` Find the percentage of the blue-shaded region.Percentages are values per a hundred, or `x/(100)`. The per a hundred is represented by the symbol `%`.To get the percentage, multiply the fraction value by `100%`.`\text(Percentage)` `=` $$\frac{1}{3}\times100$$ `=` $$\frac{1}{3}\times\frac{100%}{1}$$ `=` $$\frac{100%}{3}$$ `=` `33 1/3%` Keep the remainder in fraction form `(i) 1/3``(ii) 33 1/3%` -
Quizzes
- Percent from a Graph (Visual) 1
- Percent from a Graph (Visual) 2
- Percent from a Graph (Visual) 3
- Convert Between Percentages, Fractions and Decimals 1
- Convert Between Percentages, Fractions and Decimals 2
- Convert Between Percentages, Fractions and Decimals 3
- Convert Between Percentages, Fractions and Decimals 4
- Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 1
- Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 2
- Percent of an Amount 1
- Percent of an Amount 2
- Increase and Decrease an Amount by a Percent 1
- Increase and Decrease an Amount by a Percent – Word Problems 1
- Increase and Decrease an Amount by a Percent – Word Problems 2
- Increase and Decrease an Amount by a Percent – Word Problems 3
- Percent of Change
- Percent of Change – Word Problems
- Percent of an Amount – Word Problems 1
- Percent of an Amount – Word Problems 2
- Percent of an Amount – Word Problems 3
- Find Base from Percent of an Amount (Unitary Method) 1
- Find Base from Percent of an Amount (Unitary Method) 2
- One Amount as a Percentage of Another Amount
- Find Original Amount Before Percent Change (Unitary Method)
- Depreciation